Problem1

说明：  umat公式详细介绍，我也不知道够20字了mei(the introduction of umat in abaqus)

气泡根据内外压力差变化的动网格。。。。。。(bubble dynamic mesh )

说明：  本程序可计算二维光子晶体的带隙，并得出带隙图，和带隙位置及宽度(This procedure computable two-dimensional photonic bandgap crystals, and came to the band-gap maps, and the band-gap position and width)

复合材料损伤，复合材料层间分层，损伤，刚度退化、衰减(Composite damage, delamination of composite layers, damage, stiffness degradation, attenuation)

基于灰色系统方法的离散多目标优化设计程序，很好用(Based on gray system method of discrete multi-objective optimization design process, well used)

基于前推回代法的电力系统潮流计算程序。 需要输入支路阻抗和节点功率矩阵。包括支路号、首节点号、尾节点号、支路自阻抗、尾节点给定功率。 输出各节点的电压幅值、相角和各支路电流。(Power flow calculation program based on the forward and backward substitution method. Need input the branch impedance node power matrix. Including branch number, node number, the tail node number, branch self-impedance tail node given power. The output node voltage amplitude, phase angle and current of each branch.)

说明：  一阶，二阶，三阶，四阶，显式与隐式龙格库塔方程求解常微分方程的matlab代码(Matlab code for solving ordinary differential equations of first, second, third, fourth, explicit and implicit Runge Kutta equations)

提取nastran“.f06”结果中的节点频响函数数据，可简单修改提取模态频率和 其它数据(Extract nastran, " f06" results in the the node frequency response function data, can be simple modification to extract the modal frequencies and other data)

一个机器学习的python文件，里面拥有各种机器学习方法，可以供大家参考(A Python file for machine learning, which has various machine learning methods, can be used for your reference.)

加权总体最小二乘算法在直线拟合拟合的应用，算法为方兴博士论文中的算法1(total least square linear fitting)